583 research outputs found
Bulk Entanglement Gravity without a Boundary: Towards Finding Einstein's Equation in Hilbert Space
We consider the emergence from quantum entanglement of spacetime geometry in
a bulk region. For certain classes of quantum states in an appropriately
factorized Hilbert space, a spatial geometry can be defined by associating
areas along codimension-one surfaces with the entanglement entropy between
either side. We show how Radon transforms can be used to convert this data into
a spatial metric. Under a particular set of assumptions, the time evolution of
such a state traces out a four-dimensional spacetime geometry, and we argue
using a modified version of Jacobson's "entanglement equilibrium" that the
geometry should obey Einstein's equation in the weak-field limit. We also
discuss how entanglement equilibrium is related to a generalization of the
Ryu-Takayanagi formula in more general settings, and how quantum error
correction can help specify the emergence map between the full quantum-gravity
Hilbert space and the semiclassical limit of quantum fields propagating on a
classical spacetime.Comment: 29 pages, 2 figure
Quantum Tomography
This is the draft version of a review paper which is going to appear in
"Advances in Imaging and Electron Physics"Comment: To appear in "Advances in Imaging and Electron Physics". Some figs
with low resolutio
Holography on local fields via Radon Transform
We define Radon transform and its inverse on the two-dimensional anti-de
Sitter space over local fields using a novel construction through a quadratic
equation over the local field. We show that the holographic bulk reconstruction
of quantum fields in this space can be formulated as the inverse Radon
transform, generalizing the case over the reals, studied earlier.Comment: 1+15 pages LaTeX2e. 1 Figure. A few clarifying comments added.
Version published in JHE
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